Chiral Ordering in the Four-Dimensional XY Spin Glass

TL;DR

This study uses Monte Carlo simulations to investigate the chiral glass transition in a four-dimensional XY spin glass, finding evidence for simultaneous spin and chirality ordering with specific critical exponents.

Contribution

It provides the first detailed finite-size scaling analysis of chiral glass behavior in four-dimensional XY spin glasses, revealing critical temperatures and exponents.

Findings

Chiral glass transition at T_cg=0.90±0.05

Chiral correlation-length exponent ν_cg=0.6±0.1

Evidence for simultaneous spin and chirality ordering

Abstract

The chiral glass behaviour of the nearest-neighbour random-bond XY spin glass in four dimensions is studied by Monte Carlo simulations. A chiral glass transition at $T_{cg}=0.90\pm 0.05$ is found by a finite-size scaling analysis of the results. The associated chiral correlation-length exponent is estimated to be $\nu_{cg}=0.6\pm 0.1$ and $\eta_{cg}\sim 0.25$. The values for the chiral critical temperature and the exponents are very similar to those reported recently for the spin glass transition in this model. The results strongly suggest a simultaneous ordering of spin and chirality in four dimensions.